53277419520 has 864 divisors, whose sum is σ = 209876645160. Its totient is φ = 12899450880.

The previous prime is 53277419491. The next prime is 53277419617. The reversal of 53277419520 is 2591477235.

It is a happy number.

53277419520 is a `hidden beast` number, since 53 + 2 + 7 + 74 + 1 + 9 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17474724864 + 35802694656 = 132192^2 + 189216^2 .

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 873400290 + ... + 873400350.

Almost surely, 2^53277419520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53277419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104938322580).

53277419520 is an abundant number, since it is smaller than the sum of its proper divisors (156599225640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53277419520 is an frugal number, since it uses more digits than its factorization.

53277419520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 53277419520 in words is "fifty-three billion, two hundred seventy-seven million, four hundred nineteen thousand, five hundred twenty".